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Finding the Third Proportional to 53,850 and 110,386

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Solution

The third proportional to 53,850 and 110,386 is: 226,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,850 : 110,386 = 110,386 : x
  2. Step 2: Convert to fraction form
    53,850/110,386 = 110,386/x
  3. Step 3: Cross multiply
    53,850x = 110,386 × 110,386
  4. Step 4: Simplify right side
    53,850x = 12,185,068,996
  5. Step 5: Solve for x
    x = 12,185,068,996/53,850
  6. Step 6: Final answer
    x = 226,277.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.